NT Olympiad FundamentalsInstructor: Cordelia Hu
In this course, we cover many of the fundamental concepts in late-AIME and Olympiad number theory, such as divisibility, size bounding, modular arithmetic, polynomials, and orders. By taking this course, you'll gain a solid foundation on number theory at a high level.
LESSON 1: Divisibility
LESSON 2: Modular Arithmetic
LESSON 3: Exponents and Orders
LESSON 4: Polynomials
LESSON 5: Miscellaneous
LESSON 6: Review and Test
Algebra and NT FundamentalsInstructor: Laura Zhang
This course will provide an introduction to early-AIME algebra and number theory. Students will learn how to tackle problems using techniques like Vieta's formulas, roots of unity, modular arithmetic, logarithm properties, and more.
LESSON 1: Polynomials
LESSON 2: Divisibility and Bases
LESSON 3: Complex Numbers
LESSON 4: Modular Arithmetic
LESSON 5: Harder Equations and Inequalities
LESSON 6: Review and Test
Spicy GeometryInstructor: Serena Xu
In this course, we are going to talk about the five unique hearts of triangles and some famous theorems. Topics will include the special property of five centers and some interesting theorems, such as Ceva, Ptolemy, Monge and so on. In particular, we will solve some kinda-wonderful problems in each class!
LESSON 1: Circumcenter and Incenter
LESSON 2: Centroid, Orthocenter and Excenter
LESSON 3: Menelaus and Ceva
LESSON 4: Ptolemy and Simson
LESSON 5: Power of a Point and Radical Axis
LESSON 6: Review and Group Solve
Algebra and Combinatorics Trail MixInstructor: Nicole Shen
In this course, we will go over some common techniques used on mid AMC- to early AIME-level problems. Students will become familiar with methods and tricks that cover a variety of topics, especially in combinatorics and algebra. Topics include bijections, algebraic manipulation, using inequalities, sequences and series, and recursions.
LESSON 1: Counting Clever Correspondences
LESSON 2: Algebraic Manipulation
LESSON 3: Inequalities
LESSON 4: ∑equences and ∑eries
LESSON 5: Recursion and States
LESSON 6: Look to the Future
Cute GeometryInstructor: Vivian Loh
This course covers all sorts of AIME-level topics related to triangles, plus a tiny peek into olympiad geo with cyclic quadrilaterals and cool orthocenter properties. Some topics included are area, Power of a Point, and trig bashing.
LESSON 1: Similarity and Congruence
LESSON 2: Lengths and Areas
LESSON 3: Triangle Centers
LESSON 4: Circle Magic
LESSON 5: Trig
LESSON 6: Geometry Test!
Counting StrategiesInstructor: Michelle Kang
This course is designed to help you enhance your combinatorics problem solving skills for early to mid AIME level problems. We will cover many different techniques, such as constructive and complementary counting, recursion, expected value, and bijections.
LESSON 1: Counting Principles
LESSON 2: Sets
LESSON 3: Bijections
LESSON 4: Recursion
LESSON 5: Other Topics
LESSON 6: Combo Test